2017
Том 69
№ 9

All Issues

On the Convergence of Fourier Series in the Space $L_1$

Smal ' B. A., Zaderei P. V.

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Abstract

We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 785-794.

Citation Example: Smal ' B. A., Zaderei P. V. On the Convergence of Fourier Series in the Space $L_1$ // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 639-646.

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